The first issue was published in March 1986, issue 2/1995 was the last issue. From the first issue until ASM 9/1991, Manfred Kleimann was the magazine's chief editor, then he was replaced by Matthias Siegk. With issue 5/1993, Peter Schmitz took the place of the chief editor until the last ASM.
During the last years of the ASM's history, the name was changed two times. With issue 12/1993, the magazine was renamed ASM – Das Spaß-Magazin, meaning "ASM – The Fun Magazine". Another name change occurred with issue 11/1994, now the magazine's full name was ASM – Das Computer-Spaß-Magazin, literally "ASM – The Computer Fun Magazine", which was used until the last issue.